Bag X and Bag Y have a total of 55 chocolate bars. After 9 chocolate bars were transferred from Bag X to Bag Y, there were 4 times as many chocolate bars in Bag X as Bag Y. How many chocolate bars were there in each bag in the end?
- Bag X
- Bag Y
|
Bag X |
Bag Y |
Total |
Before |
4 u + 9 |
1 u - 9 |
55 |
Change |
- 9 |
+ 9 |
|
After |
4 u |
1 u |
55 |
(a)
The total number of chocolate bars at first and in the end remains the same.
Total number of chocolate bars in the end
= 4 u + 1 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Number of chocolate bars in Bag X in the end
= 4 u
= 4 x 11
= 44
(b)
Number of chocolate bars in Bag Y in the end
= 1 u
= 11
Answer(s): (a) 44; (b) 11